The National Association for Gifted Children and The National Council of Teachers of Mathematics both call for problem posing. This article illustrates the strategies used during a series of three Three-Act Tasks to foster second grade students' abilities to problem pose. The students' problem posing improved across the three Three-Act Tasks and…

The Modelling Dance task is a mathematical modelling task that explores the relationship between mathematics and dance. The authors share the task sequence, adaptations made to support virtual implementation, and evidence of student learning related to learning goals.

Undeniably omnipresent in our everyday lives, electronic signal compression is a classical example that illustrates the ubiquity of mathematics in high-end technology and sciences. When dealing with piles of files, it is essential that each file takes up as little storage space as possible while maintaining quality. The cloud-based--available…

The majority of children in mainstream (no fee, poorly resourced, African language dominant) public schools in South Africa fall significantly behind curricular norms in mathematics by Grade 3; the early learning gap grows across time. The provision of "quality" instructional materials is a well-recognised component of effective…

Derek Hurrell shares a number of geometry tasks designed to tease out students' reasoning. Concrete materials are used to initiate discussions and develop a culture of reasoning in the mathematics classroom.

Understanding exponential growth is a fundamental aspect of developing critical numeracy skills; however, typically, exponential growth is introduced in curricular documents to secondary students. Moreover, such introductions tend to be in the context of formal mathematical modeling, divorced from a sense of quantity. The authors argue that, given…

This practitioner article describes a lesson carried out in a high school classroom at the conclusion of a unit on exponential growth. Two teachers use a series of music-related activities to engage students in using and connecting multiple representations of exponential growth while exploring musical frequencies on a piano.

Even in math class, English learners can work on their oral language development. The math tasks described here, designed for K-3, illustrate how.

Technology will not inherently make students in any classroom more mathematically inquisitive, however, the use of technology can foster student-centered inquiry. This article explores the impact technology has on mathematics learning when it emphasizes the ways it supports student-centered pedagogies. Through this lens, the authors focus on…

Let's say you are a Grades 3-5 teacher in search of an activity sheet on different fraction notations. A search in May 2022 on the popular resources sharing site TeachersPayTeachers (TpT) yielded 2,832 results, 105 of which were free. With so many options, how would you go about choosing a resource for your students? What would factor into your…

This is the second of two articles on the life and mathematical legacy of the Indian mathematician Ramanujan, who died one hundred years ago. The first article, "The Life and Times of the Indian Mathematician Ramanujan (1887-1920)" (EJ1269466), which appeared in the previous issue of "Australian Mathematics Education Journal,"…

We present a Scratch task we designed and implemented for teaching and learning coordinates in a dynamic and engaging way. We use the 5Es framework to describe the students' interactions with the task and offer suggestions of how other teachers may adopt it to successfully implement Scratch tasks.

This article presents examples of how early childhood educators (prek-2nd grade) might use their daily read alouds as a vehicle for increasing mathematical talk and mathematical connections for their students.

An escape room can be a great way for students to apply and practice mathematics they have learned. This article describes the development and implementation of a mathematical escape room with important principles to incorporate in escape rooms to help students persevere in problem solving.

We describe a formative assessment approach called whole-class think alouds, which foster evidence-based instructional practices and promote the goal of assessment to promote learning. They allow students to collaborate and orally communicate their problem solving.